Theorems · Theorem · functional analysis
Seminorm.closedBall_eq_emptyset
∀ {𝕜 : Type u_3} {E : Type u_7} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
(p : Seminorm 𝕜 E) {x : E} {r : ℝ}, r < 0 → p.closedBall x r = ∅- Defined in
- Mathlib.Analysis.Seminorm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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- NonnegHomClass.apply_nonnegproof · cited by 79
- Seminorm.closedBallstatement · cited by 45
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